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You operate a gaming website, www.mudbeast.net, where users must pay a small fee to log on. When you charged $3 the demand was 560 log-ons per month. When you lowered the price to $2.50, the demand increased to 840 log-ons per month. (a) Construct a linear demand function for your website and hence obtain the monthly revenue R as a function of the log-on fee x. R(x) =     (b) Your Internet provider charges you a monthly fee of $10 to maintain your site. Express your monthly profit P as a function of the log-on fee x. P(x) =     Determine the log-on fee you should charge to obtain the largest possible monthly profit (in dollars). x = $ What is the largest possible monthly profit (in dollars)? $

You operate a gaming website, www.mudbeast.net, where users must pay a small fee to log on. When you charged $3 the demand was 560 log-ons per month. When you lowered the price to $2.50, the demand increased to 840 log-ons per month. (a) Construct a linear demand function for your website and hence obtain the monthly revenue R as a function of the log-on fee x. R(x) =     (b) Your Internet provider charges you a monthly fee of $10 to maintain your site. Express your monthly profit P as a function of the log-on fee x. P(x) =     Determine the log-on fee you should charge to obtain the largest possible monthly profit (in dollars). x = $ What is the largest possible monthly profit (in dollars)? $

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 60E
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You operate a gaming website, www.mudbeast.net, where users must pay a small fee to log on. When you charged $3 the demand was 560 log-ons per month. When you lowered the price to $2.50, the demand increased to 840 log-ons per month.
(a)
Construct a linear demand function for your website and hence obtain the monthly revenue R as a function of the log-on fee x.
R(x) =
 
 
(b)
Your Internet provider charges you a monthly fee of $10 to maintain your site. Express your monthly profit P as a function of the log-on fee x.
P(x) =
 
 
Determine the log-on fee you should charge to obtain the largest possible monthly profit (in dollars).
x = $
What is the largest possible monthly profit (in dollars)?
$
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